Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 57670 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6467 | 0.8093 | 0.7991 | [M:[1.2032, 0.8008, 0.7968, 0.8087, 0.789, 0.8126, 1.1992], q:[0.4043, 0.3925], qb:[0.7949, 0.7988], phi:[0.4024]] | [M:[[-8], [-2], [8], [-22], [28], [-32], [2]], q:[[-11], [19]], qb:[[13], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.367 + t^2.391 + t^2.414 + t^2.426 + t^2.438 + t^3.562 + 2*t^3.598 + t^3.609 + t^4.734 + t^4.757 + t^4.769 + 3*t^4.781 + 3*t^4.805 + t^4.817 + t^4.828 + t^4.84 + 2*t^4.852 + t^4.864 + t^4.876 + t^5.929 + t^5.953 + t^5.964 + 3*t^5.976 + 2*t^5.988 - 2*t^6. + t^6.012 + 2*t^6.024 + t^6.036 + t^6.047 + t^7.101 + 2*t^7.124 + t^7.136 + 2*t^7.148 + 2*t^7.16 + 2*t^7.172 - t^7.183 + 5*t^7.195 + t^7.207 + 3*t^7.219 + 3*t^7.231 + 3*t^7.243 + t^7.254 + 2*t^7.266 + 2*t^7.278 + 2*t^7.29 + t^7.302 + t^7.314 + t^8.296 + t^8.32 + 2*t^8.331 + 4*t^8.343 - t^8.355 + 2*t^8.379 - t^8.391 + 3*t^8.402 - 2*t^8.426 - t^8.438 + t^8.45 + t^8.462 + t^8.473 + t^8.485 - t^4.207/y - t^6.574/y - t^6.621/y - t^6.633/y - t^6.645/y + t^7.757/y + t^7.769/y + (2*t^7.781)/y + (2*t^7.793)/y + (2*t^7.805)/y + t^7.817/y + t^7.828/y + (2*t^7.84)/y + t^7.852/y + t^7.864/y + t^8.929/y - t^8.941/y + t^8.953/y + (2*t^8.964)/y + (2*t^8.976)/y + (2*t^8.988)/y - t^4.207*y - t^6.574*y - t^6.621*y - t^6.633*y - t^6.645*y + t^7.757*y + t^7.769*y + 2*t^7.781*y + 2*t^7.793*y + 2*t^7.805*y + t^7.817*y + t^7.828*y + 2*t^7.84*y + t^7.852*y + t^7.864*y + t^8.929*y - t^8.941*y + t^8.953*y + 2*t^8.964*y + 2*t^8.976*y + 2*t^8.988*y | g1^28*t^2.367 + g1^8*t^2.391 + t^2.414/g1^12 + t^2.426/g1^22 + t^2.438/g1^32 + g1^32*t^3.562 + 2*g1^2*t^3.598 + t^3.609/g1^8 + g1^56*t^4.734 + g1^36*t^4.757 + g1^26*t^4.769 + 3*g1^16*t^4.781 + (3*t^4.805)/g1^4 + t^4.817/g1^14 + t^4.828/g1^24 + t^4.84/g1^34 + (2*t^4.852)/g1^44 + t^4.864/g1^54 + t^4.876/g1^64 + g1^60*t^5.929 + g1^40*t^5.953 + g1^30*t^5.964 + 3*g1^20*t^5.976 + 2*g1^10*t^5.988 - 2*t^6. + t^6.012/g1^10 + (2*t^6.024)/g1^20 + t^6.036/g1^30 + t^6.047/g1^40 + g1^84*t^7.101 + 2*g1^64*t^7.124 + g1^54*t^7.136 + 2*g1^44*t^7.148 + 2*g1^34*t^7.16 + 2*g1^24*t^7.172 - g1^14*t^7.183 + 5*g1^4*t^7.195 + t^7.207/g1^6 + (3*t^7.219)/g1^16 + (3*t^7.231)/g1^26 + (3*t^7.243)/g1^36 + t^7.254/g1^46 + (2*t^7.266)/g1^56 + (2*t^7.278)/g1^66 + (2*t^7.29)/g1^76 + t^7.302/g1^86 + t^7.314/g1^96 + g1^88*t^8.296 + g1^68*t^8.32 + 2*g1^58*t^8.331 + 4*g1^48*t^8.343 - g1^38*t^8.355 + 2*g1^18*t^8.379 - g1^8*t^8.391 + (3*t^8.402)/g1^2 - (2*t^8.426)/g1^22 - t^8.438/g1^32 + t^8.45/g1^42 + t^8.462/g1^52 + t^8.473/g1^62 + t^8.485/g1^72 - t^4.207/(g1^6*y) - (g1^22*t^6.574)/y - t^6.621/(g1^18*y) - t^6.633/(g1^28*y) - t^6.645/(g1^38*y) + (g1^36*t^7.757)/y + (g1^26*t^7.769)/y + (2*g1^16*t^7.781)/y + (2*g1^6*t^7.793)/y + (2*t^7.805)/(g1^4*y) + t^7.817/(g1^14*y) + t^7.828/(g1^24*y) + (2*t^7.84)/(g1^34*y) + t^7.852/(g1^44*y) + t^7.864/(g1^54*y) + (g1^60*t^8.929)/y - (g1^50*t^8.941)/y + (g1^40*t^8.953)/y + (2*g1^30*t^8.964)/y + (2*g1^20*t^8.976)/y + (2*g1^10*t^8.988)/y - (t^4.207*y)/g1^6 - g1^22*t^6.574*y - (t^6.621*y)/g1^18 - (t^6.633*y)/g1^28 - (t^6.645*y)/g1^38 + g1^36*t^7.757*y + g1^26*t^7.769*y + 2*g1^16*t^7.781*y + 2*g1^6*t^7.793*y + (2*t^7.805*y)/g1^4 + (t^7.817*y)/g1^14 + (t^7.828*y)/g1^24 + (2*t^7.84*y)/g1^34 + (t^7.852*y)/g1^44 + (t^7.864*y)/g1^54 + g1^60*t^8.929*y - g1^50*t^8.941*y + g1^40*t^8.953*y + 2*g1^30*t^8.964*y + 2*g1^20*t^8.976*y + 2*g1^10*t^8.988*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 58920 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6322 | 0.7858 | 0.8045 | [M:[1.2129, 0.8032, 0.7871, 0.8356, 0.7547, 0.8518, 1.1968, 1.1482], q:[0.4178, 0.3693], qb:[0.779, 0.7951], phi:[0.4097]] | t^2.264 + t^2.361 + t^2.458 + t^2.507 + 2*t^3.445 + 2*t^3.59 + t^3.639 + t^4.528 + t^4.625 + t^4.674 + 3*t^4.722 + 2*t^4.819 + t^4.868 + t^4.965 + t^5.014 + 2*t^5.709 + 2*t^5.806 + t^5.854 + 4*t^5.903 + 3*t^5.951 - 3*t^6. - t^4.229/y - t^4.229*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 55914 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6631 | 0.8382 | 0.7912 | [M:[1.2027, 0.8007, 0.7973, 0.8073, 0.7907, 0.8107], q:[0.4037, 0.3937], qb:[0.7957, 0.799], phi:[0.402]] | t^2.372 + t^2.392 + t^2.402 + t^2.412 + t^2.422 + t^2.432 + t^3.568 + t^3.598 + t^3.608 + t^4.744 + t^4.764 + 2*t^4.774 + 3*t^4.784 + t^4.794 + 4*t^4.804 + 2*t^4.814 + 2*t^4.824 + 2*t^4.834 + 2*t^4.844 + t^4.854 + t^4.864 + t^5.94 + t^5.96 + t^5.97 + 3*t^5.98 + t^5.99 - t^6. - t^4.206/y - t^4.206*y | detail |